This isnt something new for Rav Eliyahu HaTzadik shlita, he openly supported Rabbi Kahane zt'l and the Kach party.
I think telling him about JTF would be a mistake, he and Chaim differ in regard to the Notzrim, Chaim chooses to follow the lenient opinion of the Meiri, Rav Eliyahu HaTzadik shlita follows the Rambam.